p-16/p=+6

Solution for p-16/p=+6 equation:

p-16/p=+6

We move all terms to the left:

p-16/p-(+6)=0


Domain of the equation: p!=0

p∈R


We add all the numbers together, and all the variables

p-16/p-6=0

We multiply all the terms by the denominator


p*p-6*p-16=0

We add all the numbers together, and all the variables

-6p+p*p-16=0

Wy multiply elements

p^2-6p-16=0

a = 1; b = -6; c = -16;
Δ = b2-4ac
Δ = -62-4·1·(-16)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-10}{2*1}=\frac{-4}{2}
=-2
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+10}{2*1}=\frac{16}{2}
=8
$